{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T07:26:44.381418Z",
     "start_time": "2020-10-20T07:26:44.350928Z"
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.utils.data as Data\n",
    "import torch.nn.functional as F\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T07:50:17.520379Z",
     "start_time": "2020-10-20T07:50:17.512439Z"
    }
   },
   "outputs": [],
   "source": [
    "LR=0.01\n",
    "BATCH_SIZE=32\n",
    "EPOCH=12\n",
    "\n",
    "#torch.unsqueeze()\n",
    "x=torch.unsqueeze(torch.linspace(-1,1,100),dim=1)\n",
    "y=x.pow(2)+0.1*torch.normal(torch.zeros(*x.size()))\n",
    "\n",
    "torch_dataset=Data.TensorDataset(x,y)\n",
    "loader=Data.DataLoader(dataset=torch_dataset,batch_size=BATCH_SIZE,shuffle=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T07:57:34.166954Z",
     "start_time": "2020-10-20T07:57:34.157033Z"
    }
   },
   "outputs": [],
   "source": [
    "class Net(torch.nn.Module):\n",
    "    def __init__(self):\n",
    "        super(Net,self).__init__()\n",
    "        self.hidden=torch.nn.Linear(1,20)\n",
    "        self.predict=torch.nn.Linear(20,1)\n",
    "        \n",
    "    def forward(self,x):\n",
    "        x=F.relu(self.hidden(x))\n",
    "        x=self.predict(x)\n",
    "        return x\n",
    "net_SGD=Net()\n",
    "net_Momentum=Net()\n",
    "net_RMSProp=Net()\n",
    "net_Adam=Net()\n",
    "\n",
    "nets=[net_SGD,net_Momentum,net_RMSProp,net_Adam]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T08:03:41.376061Z",
     "start_time": "2020-10-20T08:03:41.369556Z"
    }
   },
   "outputs": [],
   "source": [
    "opt_SGD=torch.optim.SGD(net_SGD.parameters(),lr=LR)\n",
    "opt_Momentum=torch.optim.SGD(net_Momentum.parameters(),lr=LR,momentum=0.9)\n",
    "opt_RMSProp=torch.optim.RMSprop(net_RMSProp.parameters(),lr=LR,alpha=0.9)\n",
    "opt_Adam=torch.optim.Adam(net_Adam.parameters(),lr=LR,betas=(0.9,0.99))\n",
    "optimizers=[opt_SGD,opt_Momentum,opt_RMSProp,opt_Adam]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T09:43:34.434753Z",
     "start_time": "2020-10-20T09:43:34.076573Z"
    }
   },
   "outputs": [],
   "source": [
    "loss_func=torch.nn.MSELoss()\n",
    "loss_his=[[],[],[],[]]\n",
    "\n",
    "for epoch in range(EPOCH):\n",
    "    for step,(batch_x,batch_y)in enumerate(loader):\n",
    "        for net,opt,l_his in zip(nets,optimizers,loss_his):\n",
    "            output=net(batch_x)\n",
    "            loss=loss_func(output,batch_y)\n",
    "            opt.zero_grad()\n",
    "            loss.backward()\n",
    "            opt.step()\n",
    "            l_his.append(loss.data.numpy())\n",
    "labels=['SGD','Momentum','RMSProp','Adam']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-20T09:46:18.319847Z",
     "start_time": "2020-10-20T09:46:18.048024Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i ,l_his in enumerate(loss_his):\n",
    "    plt.plot(l_his,label=labels[i])\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel('Steps')\n",
    "plt.ylabel('Loss')\n",
    "plt.ylim((0,0.2))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
